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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: TPSSh/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at TPSSh/6-31+G**
 hartrees
Energy at 0K-226.220639
Energy at 298.15K-226.226526
HF Energy-226.220639
Nuclear repulsion energy160.313392
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at TPSSh/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3237 3116 11.90      
2 A' 3211 3090 9.24      
3 A' 3048 2934 2.09      
4 A' 1645 1583 47.26      
5 A' 1543 1486 11.66      
6 A' 1413 1360 20.82      
7 A' 1328 1278 24.53      
8 A' 1308 1259 6.29      
9 A' 1263 1215 6.56      
10 A' 1035 996 61.49      
11 A' 997 959 12.04      
12 A' 942 906 3.11      
13 A' 872 839 1.60      
14 A' 869 837 10.81      
15 A" 3084 2969 0.96      
16 A" 1158 1114 0.33      
17 A" 1001 964 17.83      
18 A" 957 921 1.35      
19 A" 746 718 6.93      
20 A" 559 538 20.97      
21 A" 360 346 6.95      

Unscaled Zero Point Vibrational Energy (zpe) 15287.0 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 14713.8 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at TPSSh/6-31+G**
ABC
0.31948 0.29161 0.15690

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.202 0.357 0.000
C2 0.000 1.140 0.000
N3 1.117 0.506 0.000
C4 0.738 -0.903 0.000
C5 -0.770 -0.858 0.000
H6 -0.079 2.222 0.000
H7 1.148 -1.411 0.882
H8 1.148 -1.411 -0.882
H9 -1.435 -1.718 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43432.32422.31351.28972.17723.07013.07012.0882
C21.43431.28482.17182.14101.08532.93302.93303.1979
N32.32421.28481.45852.32842.09222.11032.11033.3854
C42.31352.17181.45851.50893.22991.09741.09742.3215
C51.28972.14102.32841.50893.15682.18192.18191.0874
H62.17721.08532.09223.22993.15683.93483.93484.1672
H73.07012.93302.11031.09742.18193.93481.76442.7465
H83.07012.93302.11031.09742.18193.93481.76442.7465
H92.08823.19793.38542.32151.08744.16722.74652.7465

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.359 N1 C2 H6 118.911
N1 C5 C4 111.275 N1 C5 H9 122.692
C2 N1 C5 103.492 C2 N3 C4 104.508
N3 C2 H6 123.731 N3 C4 C5 103.367
N3 C4 H7 110.517 N3 C4 H8 110.517
C4 C5 H9 126.033 C5 C4 H7 112.732
C5 C4 H8 112.732 H7 C4 H8 107.015
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.181      
2 C -0.026      
3 N -0.201      
4 C -0.282      
5 C -0.031      
6 H 0.161      
7 H 0.197      
8 H 0.197      
9 H 0.166      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.037 -2.227 0.000 2.227
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.492 -0.347 0.000
y -0.347 8.019 0.000
z 0.000 0.000 4.586


<r2> (average value of r2) Å2
<r2> 82.064
(<r2>)1/2 9.059